A hotel claims that 95% of its customers are very satisfied with its service. Complete parts a through d below based on a random sample of six customers.
a. What is the probability that exactly five customers are very satisfied?
______________(Round to four decimal places as needed)
b. What is the probability that more than five customers are very satisfied?
_______________(Round to four decimal places as needed)
c. What is the probability that less than four customers are very satisfied?
_____________(Round to four decimal places as needed)
d. Suppose that of six customers selected, two responded that they are very satisfied. What conclusions can be drawn about the hotel's claim?
The probability that 2 out of 6 customers are very satisfied is _____________ assuming that 95% of customers are very satisfied. Based on this sample, it is ___________________(likely or not likely) that 95% of customers are very satisfied. (Round to four decimal places as needed)